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Shared Qs (013)


  1. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  2. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  3. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  4. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  5. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  6. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  7. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  8. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  9. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

    plot of chunk unnamed-chunk-1

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    Solution


  10. Question

    Here are some common (and less common) parent functions:

    name \(f(x)=\)
    constant 1
    linear \(x\)
    absolute \(|x|\)
    quadratic \(x^2\)
    cubic \(x^3\)
    reciprocal \(\frac{1}{x}\)
    square root \(\sqrt{x}\)
    cube root \(\sqrt[3]{x}\)
    sine \(\sin(x)\)
    cosine \(\cos(x)\)
    tangent \(\tan(x)\)
    ceiling \(\lceil x \rceil\)
    floor \(\lfloor x \rfloor\)
    exponential \(e^x\)
    logarithmic \(\ln(x)\)
    logistic \(\frac{e^x}{e^x+1}\)
    squared reciprocal \(\frac{1}{x^2}\)

    Match the graphs with their names.

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    Solution


  11. Question

    Consider the quadratic function graphed below:

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    Solution


  12. Question

    Consider the quadratic function graphed below:

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    Solution


  13. Question

    Consider the quadratic function graphed below:

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    Solution


  14. Question

    Consider the quadratic function graphed below:

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    Solution


  15. Question

    Consider the quadratic function graphed below:

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    Solution


  16. Question

    Consider the quadratic function graphed below:

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    Solution


  17. Question

    Consider the quadratic function graphed below:

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    Solution


  18. Question

    Consider the quadratic function graphed below:

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    Solution


  19. Question

    Consider the quadratic function graphed below:

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    Solution


  20. Question

    Consider the quadratic function graphed below:

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    Solution


  21. Question

    Which plot matches the function:

    \[f(x) = \left|{x - 1}\right| + 6\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  22. Question

    Which plot matches the function:

    \[f(x) = \left|{x + 4}\right| - 6\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  23. Question

    Which plot matches the function:

    \[f(x) = \left|{x + 2}\right| + 1\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  24. Question

    Which plot matches the function:

    \[f(x) = - \left|{x - 3}\right| - 6\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  25. Question

    Which plot matches the function:

    \[f(x) = 4 - \left|{x + 5}\right|\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  26. Question

    Which plot matches the function:

    \[f(x) = \left|{x + 4}\right| + 5\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  27. Question

    Which plot matches the function:

    \[f(x) = \left|{x - 3}\right| - 4\]

    plot of chunk unnamed-chunk-2


    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  28. Question

    Which plot matches the function:

    \[f(x) = - \left|{x + 6}\right| - 4\]

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    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  29. Question

    Which plot matches the function:

    \[f(x) = 5 - \left|{x - 2}\right|\]

    plot of chunk unnamed-chunk-2


    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  30. Question

    Which plot matches the function:

    \[f(x) = \left|{x - 3}\right| + 1\]

    plot of chunk unnamed-chunk-2


    1. Plot 1
    2. Plot 2
    3. Plot 3
    4. Plot 4

    Solution


  31. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 9 1
    2 3 2
    3 7 3
    4 6 6
    5 10 10
    6 5 9
    7 4 7
    8 2 4
    9 8 5
    10 1 8

    Evaluate the following:



    Solution


  32. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 9 9
    2 7 7
    3 1 3
    4 6 1
    5 4 2
    6 3 10
    7 10 4
    8 5 8
    9 2 6
    10 8 5

    Evaluate the following:



    Solution


  33. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 1 5
    2 6 4
    3 10 2
    4 3 7
    5 8 9
    6 4 1
    7 7 10
    8 5 6
    9 9 3
    10 2 8

    Evaluate the following:



    Solution


  34. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 4 10
    2 5 7
    3 9 3
    4 6 9
    5 8 6
    6 10 1
    7 3 8
    8 1 2
    9 2 4
    10 7 5

    Evaluate the following:



    Solution


  35. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 10 1
    2 6 8
    3 1 4
    4 3 6
    5 5 2
    6 2 9
    7 9 3
    8 4 10
    9 8 5
    10 7 7

    Evaluate the following:



    Solution


  36. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 3 8
    2 5 10
    3 2 6
    4 7 3
    5 10 5
    6 9 7
    7 1 2
    8 8 9
    9 4 4
    10 6 1

    Evaluate the following:



    Solution


  37. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 1 5
    2 5 1
    3 6 3
    4 8 10
    5 2 6
    6 7 2
    7 10 7
    8 4 9
    9 9 4
    10 3 8

    Evaluate the following:



    Solution


  38. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 6 7
    2 10 1
    3 8 6
    4 2 10
    5 5 4
    6 1 8
    7 7 3
    8 3 5
    9 4 2
    10 9 9

    Evaluate the following:



    Solution


  39. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 3 8
    2 9 4
    3 8 2
    4 10 7
    5 5 1
    6 2 10
    7 7 3
    8 1 9
    9 4 5
    10 6 6

    Evaluate the following:



    Solution


  40. Question

    Let functions \(f\) and \(g\) be defined by the table below.

    \(x\) \(f(x)\) \(g(x)\)
    1 8 5
    2 1 10
    3 5 8
    4 7 2
    5 3 1
    6 6 4
    7 9 7
    8 10 3
    9 4 9
    10 2 6

    Evaluate the following:



    Solution


  41. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  42. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  43. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  44. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  45. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  46. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  47. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  48. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  49. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution


  50. Question

    Let functions \(f\) and \(g\) be defined by the graph below.

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    Evaluate the following:



    Solution